J. Machado

Modeling and Simulation · Journal of Computational Physics · 2004–2021

A researcher in the Science corpus: 28 papers; trusts 53 researchers and is trusted by 47 researchers here, as inferred from the citation graph.

Subfields

• Modeling and Simulation — 240 citations into it; #109 of 2,105 by trust here, #54 by citations
• Numerical Analysis — 134 citations into it; #312 of 3,586 by trust here, #98 by citations
• Control and Systems Engineering — 83 citations into it; #3,213 of 8,257 by trust here, #995 by citations
• Applied Mathematics — 80 citations into it; #1,603 of 7,620 by trust here, #651 by citations
• Mechanics of Materials — 52 citations into it; #2,790 of 6,291 by trust here, #1,992 by citations
• Statistical and Nonlinear Physics — 47 citations into it
• Mathematical Physics — 24 citations into it; #6,783 of 8,562 by trust here, #2,904 by citations
• Biomedical Engineering — 16 citations into it; #9,592 of 10,734 by trust here, #10,638 by citations

Whom J. Machado trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Francesco Mainardi
2. Rudolf Hilfer
3. Xiao-jun Yang
4. Dumitru Băleanu
5. Ricardo Almeida
6. Anatoly A. Kilbas
7. Ali H. Bhrawy
8. Abdon Atangana
9. Tenreiro Machado
10. Hari M. Srivastava

Who trusts J. Machado overall

1. Xiao-jun Yang
2. Dumitru Băleanu
3. Vasily E. Tarasov
4. E. Capelas de Oliveira
5. Bashir Ahmad
6. D. S. Oliveira
7. Dr. T. K. Battula
8. M. A. Zaky
9. V. Vijayakumar
10. Ali H. Bhrawy

Papers from J. Machado's perspective

Ordered by how strongly the researchers J. Machado trusts endorse each paper. Same corpus, a different order for every researcher.

1. Theory and Applications of Fractional Differential Equations
2. Fractional Differential Equations
3. Fractional Integrals and Derivatives: Theory and Applications
4. Recent history of fractional calculus
5. Applications Of Fractional Calculus In Physics
6. Variable-order fractional differential operators in anomalous diffusion modeling
7. An Introduction to Fractional Control
8. Fractional Calculus in Bioengineering
9. Properties of a New Fractional Derivative without Singular Kernel
10. A NEW JACOBI OPERATIONAL MATRIX: AN APPLICATION FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS

Their papers

• A critical analysis of the conformable derivative (2018) — 86 citations
• Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments (2021) — 57 citations
• Chebyshev spectral methods for multi-order fractional neutral pantograph equations (2020) — 51 citations
• Numerical approach for modeling fractal mobile/immobile transport model in porous and fractured media (2020) — 57 citations
• A review of definitions of fractional derivatives and other operators (2019) — 444 citations
• Numerical approach for a class of distributed order time fractional partial differential equations (2019) — 46 citations
• Introduction to Fractional Differential Equations (2018) — 126 citations
• The role of fractional calculus in modeling biological phenomena: A review (2017) — 654 citations
• A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels (2017) — 57 citations
• The Chronicles of Fractional Calculus (2017) — 143 citations
• EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN (2017) — 168 citations
• An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations (2016) — 107 citations
• A new fractional operator of variable order: Application in the description of anomalous diffusion (2016) — 263 citations
• A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow (2015) — 241 citations
• A review of operational matrices and spectral techniques for fractional calculus (2015) — 209 citations
• What is a fractional derivative? (2015) — 491 citations
• An Efficient Numerical Scheme for Solving Multi‐Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index (2015) — 74 citations
• A Review of Definitions for Fractional Derivatives and Integral (2014) — 577 citations
• Fractional calculus: A survey of useful formulas (2013) — 241 citations
• Some pioneers of the applications of fractional calculus (2013) — 198 citations